Question
Brandy and Jennifer are selling wrapping paper for a school fundraiser.
Customers can buy rolls of plain wrapping paper and rolls of holiday wrapping paper. Brandy sold 2 rolls of plain wrapping paper and 1 roll of holiday wrapping paper for a total of $43. Jennifer sold 7 rolls of plain wrapping paper and 1 roll of holiday wrapping paper for a total of $93. Write a system of Linear Equations and find how much each type of wrapping paper costs per roll algebraically
Customers can buy rolls of plain wrapping paper and rolls of holiday wrapping paper. Brandy sold 2 rolls of plain wrapping paper and 1 roll of holiday wrapping paper for a total of $43. Jennifer sold 7 rolls of plain wrapping paper and 1 roll of holiday wrapping paper for a total of $93. Write a system of Linear Equations and find how much each type of wrapping paper costs per roll algebraically
Answers
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Let x = cost of plain wrapping paper per roll
Let y = cost of holiday wrapping paper per roll
System of Linear Equations:
2x + y = 43
7x + y = 93
Solving the system of equations:
2x + y = 43
-2x -2x = -2x
y = 43 - 2x
7x + (43 - 2x) = 93
7x + 43 - 2x = 93
9x = 50
x = 5.55
y = 43 - 2(5.55)
y = 43 - 11.1
y = 31.9
Therefore, the cost of plain wrapping paper per roll is $5.55 and the cost of holiday wrapping paper per roll is $31.9.
Let y = cost of holiday wrapping paper per roll
System of Linear Equations:
2x + y = 43
7x + y = 93
Solving the system of equations:
2x + y = 43
-2x -2x = -2x
y = 43 - 2x
7x + (43 - 2x) = 93
7x + 43 - 2x = 93
9x = 50
x = 5.55
y = 43 - 2(5.55)
y = 43 - 11.1
y = 31.9
Therefore, the cost of plain wrapping paper per roll is $5.55 and the cost of holiday wrapping paper per roll is $31.9.